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12132304323440 = 2457271182343853
BaseRepresentation
bin1011000010001100010110…
…1100001000001101110000
31120221211121011000002220212
42300203011230020031300
53042233424401322230
641445300442523252
72361346545136010
oct260430554101560
946854534002825
1012132304323440
113958310558274
12143b3a4206528
136a00c0ac13c2
142dd2c711dc40
151608c820b895
hexb08c5b08370

12132304323440 has 160 divisors (see below), whose sum is σ = 32374709600256. Its totient is φ = 4141930152960.

The previous prime is 12132304323431. The next prime is 12132304323457. The reversal of 12132304323440 is 4432340323121.

It is a super-2 number, since 2×121323043234402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12132304323397 and 12132304323406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276636554 + ... + 276680406.

Almost surely, 212132304323440 is an apocalyptic number.

12132304323440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132304323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16187354800128).

12132304323440 is an abundant number, since it is smaller than the sum of its proper divisors (20242405276816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12132304323440 is a wasteful number, since it uses less digits than its factorization.

12132304323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45967 (or 45961 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 12132304323440 its reverse (4432340323121), we get a palindrome (16564644646561).

The spelling of 12132304323440 in words is "twelve trillion, one hundred thirty-two billion, three hundred four million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 271 280 542 560 1084 1355 1823 1897 2168 2710 3646 3794 4336 5420 7292 7588 9115 9485 10840 12761 14584 15176 18230 18970 21680 25522 29168 30352 36460 37940 43853 51044 63805 72920 75880 87706 102088 127610 145840 151760 175412 204176 219265 255220 306971 350824 438530 494033 510440 613942 701648 877060 988066 1020880 1227884 1534855 1754120 1976132 2455768 2470165 3069710 3458231 3508240 3952264 4911536 4940330 6139420 6916462 7904528 9880660 11884163 12278840 13832924 17291155 19761320 23768326 24557680 27665848 34582310 39522640 47536652 55331696 59420815 69164620 79944019 83189141 95073304 118841630 138329240 159888038 166378282 190146608 237683260 276658480 319776076 332756564 399720095 415945705 475366520 559608133 639552152 665513128 799440190 831891410 950733040 1119216266 1279104304 1331026256 1598880380 1663782820 2238432532 2798040665 3197760760 3327565640 4476865064 5596081330 6395521520 6655131280 8953730128 11192162660 21664829149 22384325320 43329658298 44768650640 86659316596 108324145745 151653804043 173318633192 216648291490 303307608086 346637266384 433296582980 606615216172 758269020215 866593165960 1213230432344 1516538040430 1733186331920 2426460864688 3033076080860 6066152161720 12132304323440